Automatic alignment for three-dimensional tomographic reconstruction

DOI10.1088/1361-6420/aaa0f8zbMath1453.65466arXiv1705.08678OpenAlexW2618791384WikidataQ60708652 ScholiaQ60708652MaRDI QIDQ4607818

Simon Maretzke, Tristan van Leeuwen, Kees Joost Batenburg

Publication date: 14 March 2018

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.08678

zbMATH Keywords

alignmentcomputerized tomographybi-level optimizationvariable projection

Mathematics Subject Classification ID

Applications of mathematical programming (90C90) Numerical optimization and variational techniques (65K10) Numerical methods for inverse problems for integral equations (65R32)

Related Items (6)

A Hybrid Gibbs Sampler for Edge-Preserving Tomographic Reconstruction with Uncertain View Angles ⋮ The first 100 years of the Radon transform ⋮ Multimodal 3D Shape Reconstruction under Calibration Uncertainty Using Parametric Level Set Methods ⋮ Variable Projection for NonSmooth Problems ⋮ Computed tomography with view angle estimation using uncertainty quantification ⋮ Variable Projection for NonSmooth Problems

Uses Software

• CppAD
• ASTRA

Cites Work

• A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems
• Some interlacing properties of the Schur complement of a Hermitian matrix
• The Radon transform.
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• Uniqueness of tomography with unknown view angles
• Fundamentals of Computerized Tomography
• Hybrid Deterministic-Stochastic Methods for Data Fitting
• Smooth Optimization with Approximate Gradient
• Algorithms for Separable Nonlinear Least Squares Problems
• A double regularization approach for inverse problems with noisy data and inexact operator
• Graph Laplacian Tomography From Unknown Random Projections
• An alternating iterative minimisation algorithm for the double-regularised total least square functional
• The Differentiation of Pseudo-Inverses and Nonlinear Least Squares Problems Whose Variables Separate
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